Departamento de Matemática Aplicada II, Universidad de Sevilla, 41092 Sevilla, Spain.
Departamento de Matemática Aplicada, CC. e Ing. de los Materiales y Tecnología Electrónica, Universidad Rey Juan Carlos, 28933 Madrid, Spain.
Chaos. 2023 Jan;33(1):013111. doi: 10.1063/5.0124687.
The research and use of the term resilience in various types of technological, physiological, and socioeconomic systems has become very topical in recent years since this term has been applied in different fields with different meanings and connotations. One of the most common meanings of resilience is related to a positive idea that addresses recovery from failures. This study proposes to establish a theoretical and mathematical framework for discrete resilience that allows different systems to be quantitatively compared from this point of view. Also, a definition and a local view of the concept of resilience applicable to different characteristic measures in the field of complex networks is provided. Furthermore, several computational experiments are presented on the values of this new parameter in different types of synthetic and real-world networks, supplying a new set of conceptual tools for network science research.
近年来，术语“弹性(resilience)”在各种类型的技术、生理和社会经济系统中的研究和使用变得非常热门，因为这个术语在不同的领域中具有不同的含义和内涵。弹性的一个最常见的含义与积极的想法有关，即从故障中恢复。本研究旨在建立一个离散弹性的理论和数学框架，允许从这个角度对不同的系统进行定量比较。此外，还提供了适用于复杂网络领域不同特征度量的弹性概念的定义和局部视图。此外，还在不同类型的合成和真实网络上进行了几个关于这个新参数值的计算实验，为网络科学研究提供了一组新的概念工具。
